Improved exponential stability for time-varying systems with nonlinear delayed perturbations

In this paper, a new sufficient delay dependent exponential stability condition for a class of linear time-varying systems with nonlinear delayed perturbations is derived by using an improved Lyapunov-Krasovskii functional. The proposed exponential stability conditions are formulated in terms of the...

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Main Authors:	P. Niamsup, K. Mukdasai, V. N. Phat
Format:	Journal
Published:	2018
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=52049096818&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/60551
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-605512018-09-10T03:44:58Z Improved exponential stability for time-varying systems with nonlinear delayed perturbations P. Niamsup K. Mukdasai V. N. Phat Mathematics In this paper, a new sufficient delay dependent exponential stability condition for a class of linear time-varying systems with nonlinear delayed perturbations is derived by using an improved Lyapunov-Krasovskii functional. The proposed exponential stability conditions are formulated in terms of the solution of Lyapunov differential equations. The approach allows for computation of the bounds that characterize the exponential stability rate of convergence of the solution. Compared with existing results, our conditions are shown to be less conservative. Numerical examples are given to illustrate the effectiveness of the obtained conditions. © 2008 Elsevier Inc. All rights reserved. 2018-09-10T03:44:58Z 2018-09-10T03:44:58Z 2008-10-01 Journal 00963003 2-s2.0-52049096818 10.1016/j.amc.2008.07.022 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=52049096818&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/60551
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics P. Niamsup K. Mukdasai V. N. Phat Improved exponential stability for time-varying systems with nonlinear delayed perturbations
description	In this paper, a new sufficient delay dependent exponential stability condition for a class of linear time-varying systems with nonlinear delayed perturbations is derived by using an improved Lyapunov-Krasovskii functional. The proposed exponential stability conditions are formulated in terms of the solution of Lyapunov differential equations. The approach allows for computation of the bounds that characterize the exponential stability rate of convergence of the solution. Compared with existing results, our conditions are shown to be less conservative. Numerical examples are given to illustrate the effectiveness of the obtained conditions. © 2008 Elsevier Inc. All rights reserved.
format	Journal
author	P. Niamsup K. Mukdasai V. N. Phat
author_facet	P. Niamsup K. Mukdasai V. N. Phat
author_sort	P. Niamsup
title	Improved exponential stability for time-varying systems with nonlinear delayed perturbations
title_short	Improved exponential stability for time-varying systems with nonlinear delayed perturbations
title_full	Improved exponential stability for time-varying systems with nonlinear delayed perturbations
title_fullStr	Improved exponential stability for time-varying systems with nonlinear delayed perturbations
title_full_unstemmed	Improved exponential stability for time-varying systems with nonlinear delayed perturbations
title_sort	improved exponential stability for time-varying systems with nonlinear delayed perturbations
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=52049096818&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/60551
_version_	1681425456636624896

Improved exponential stability for time-varying systems with nonlinear delayed perturbations

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